On the Gibbs--Wilbraham Phenomenon for Sampling and Interpolatory Series
arXiv:1903.06698
Abstract
The Gibbs--Wilbraham phenomenon for generalized sampling series, and related interpolation series arising from cardinal functions is investigated. We prove existence of the overshoot characteristic of the phenomenon for certain cardinal functions, and characterize existence of an overshoot for sampling series.
To appear in Proceedings of the Edinburgh Mathematical Society